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145606616624142 = 2332696418826373
BaseRepresentation
bin100001000110110110101110…
…101010010010110000001110
3201002112212010110120001111000
4201012312232222102300032
5123041104322323433032
61233402431203041130
742445505461212522
oct4106665652226016
9632485113501430
10145606616624142
1142438468144a13
12143b76553701a6
13633285019747b
1427d557d999d82
1511c78678b6e7c
hex846daea92c0e

145606616624142 has 16 divisors (see below), whose sum is σ = 323570259164880. Its totient is φ = 48535538874696.

The previous prime is 145606616624141. The next prime is 145606616624167. The reversal of 145606616624142 is 241426616606541.

145606616624142 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 6 + 6 + 1 + 6 + 624 + 1 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 2696418826373 = 145606616624142 / (1 + 4 + 5 + 6 + 0 + 6 + 6 + 1 + 6 + 6 + 2 + 4 + 1 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145606616624141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348209413133 + ... + 1348209413240.

It is an arithmetic number, because the mean of its divisors is an integer number (20223141197805).

Almost surely, 2145606616624142 is an apocalyptic number.

145606616624142 is an abundant number, since it is smaller than the sum of its proper divisors (177963642540738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145606616624142 is a wasteful number, since it uses less digits than its factorization.

145606616624142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696418826384 (or 2696418826378 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 145606616624142 in words is "one hundred forty-five trillion, six hundred six billion, six hundred sixteen million, six hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 2696418826373 5392837652746 8089256479119 16178512958238 24267769437357 48535538874714 72803308312071 145606616624142